Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 86, pp. 1-9.

Title: Positive solutions and eigenvalues of nonlocal
       boundary-value problems

Authors: Jifeng Chu (Hohai Univ., China)
         Zhongcheng Zhou (Southwest Normal Univ., China)

Abstract: 
 We study the ordinary differential equation
 $x''+\lambda a(t)f(x)=0$ with the boundary
 conditions $x(0)=0$ and $x'(1)=\int_{\eta}^{1}x'(s)dg(s)$.
 We characterize values of $\lambda$ for which boundary-value
 problem has a positive solution. Also we find appropriate 
 intervals for $\lambda$ so that there are two positive solutions.
  
Submitted April 18, 2005. Published July 27, 2005.
Math Subject Classifications: 34B15
Key Words: Nonlocal boundary-value problems;
           Positive solutions; eigenvalues;
           fixed point theorem in cones.